What is (((3m^3))/((9n^2)))^5 ?

The solution to (((3m^3))/((9n^2)))^5 is (m^{15})/(243n^{10)}

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simplify (((3m^3))/((9n^2)))^5

simplify

(\frac{( 3 m ^{3} )}{( 9 n ^{2} )})^{5}

\frac{m ^{15}}{243 n ^{10}}

Solution steps

(\frac{3 m ^{3}}{9 n ^{2}})^{5}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 3 m ^{3} ) ^{5}}{( 9 n ^{2} ) ^{5}}

Simplify

(3 m^{3})^{5} : 243 m^{15}

= \frac{243 m ^{15}}{( 9 n ^{2} ) ^{5}}

Simplify

(9 n^{2})^{5} : 59049 n^{10}

= \frac{243 m ^{15}}{59049 n ^{10}}

Cancel the common factor:

243

= \frac{m ^{15}}{243 n ^{10}}

8 x^{3} + 27 y^{3} + 10 x + 15 y

\frac{lo g _{10} ( x ^{2} )}{x}

\frac{( 30 x - 20 )}{5} + \frac{( x ^{3} + x )}{x}

\frac{x ^{- 1}}{2}

sin (18 0^{\circ}) - x

What is (((3m^3))/((9n^2)))^5 ?
The solution to (((3m^3))/((9n^2)))^5 is (m^{15})/(243n^{10)}